An art museum has 1,042 pictures to split equally into 45 different exhibits. How many more pictures does the museum need to mak
2 answers:
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Answer:
A
Step-by-step explanation:
The n th term ( explicit formula) for a geometric sequence is
f(n) = a
where a is the first term and r the common ratio
Here a = 2 and r = - 8 ÷ 2 = - 4, thus
f(n) = 2
Answer:
the two roots are x = 1 and x = 4
Step-by-step explanation:
Data provided in the question:
(x³ − 64) (x⁵ − 1) = 0.
Now,
for the above relation to be true the following condition must be followed:
Either (x³ − 64) = 0 ............(1)
or
(x⁵ − 1) = 0 ..........(2)
Therefore,
considering the first equation, we have
(x³ − 64) = 0
adding 64 both sides, we get
x³ − 64 + 64 = 0 + 64
or
x³ = 64
taking the cube root both the sides, we have
∛x³ = ∛64
or
x = ∛(4 × 4 × 4)
or
x = 4
similarly considering the equation (2) , we have
(x⁵ − 1) = 0
adding the number 1 both the sides, we get
x⁵ − 1 + 1 = 0 + 1
or
x⁵ = 1
taking the fifth root both the sides, we get
also,
1 can be written as 1⁵
therefore,
or
x = 1
Hence,
the two roots are x = 1 and x = 4